GraFar - Repository of the Faculty of Civil Engineering
Faculty of Civil Engineering of the University of Belgrade
    • English
    • Српски
    • Српски (Serbia)
  • English 
    • English
    • Serbian (Cyrillic)
    • Serbian (Latin)
  • Login
View Item 
  •   GraFar
  • GraFar
  • Radovi istraživača / Researcher's publications
  • View Item
  •   GraFar
  • GraFar
  • Radovi istraživača / Researcher's publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach

Authorized Users Only
2019
Authors
Jočković, Miloš
Radenković, Gligor
Nefovska-Danilović, Marija
Baitsch, M.
Article (Published version)
Metadata
Show full item record
Abstract
This paper deals with the linear free vibration analysis of Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. The geometry of the beam as well as the displacement field are defined using the NURBS basis functions which present the basic concept of the isogeometric analysis. A novel approach based on the fundamental relations of the differential geometry and Cauchy continuum beam model is presented and applied to derive the stiffness and consistent mass matrices of the corresponding spatial curved beam element. In the Bernoulli–Euler beam element only translational and torsional inertia are taken into account, while the Rayleigh beam element takes all inertial terms into consideration. Due to their formulation, isogeometric beam elements can be used for the dynamic analysis of spatial curved beams. Several illustrative examples have been chosen in order to check the convergence and accuracy of the proposed method. The results have been compared with the available da...ta from the literature as well as with the finite element solutions.

Keywords:
Bernoulli�Euler theory / Isogeometric analysis / Linear free vibration analysis / Rayleigh theory / Spatial curved beam
Source:
Applied Mathematical Modelling, 2019, 71, 152-172
Publisher:
  • Elsevier Inc.
Funding / projects:
  • Development and application of scientific methods in designing and building highly economical structural system using new technologies (RS-36008)
  • Towards development of sustainable cities: influence of traffic induced vibrations on buildings and humans (RS-36046)

DOI: 10.1016/j.apm.2019.02.002

ISSN: 0307-904X

WoS: 000468259900010

Scopus: 2-s2.0-85061832155
[ Google Scholar ]
17
12
URI
https://grafar.grf.bg.ac.rs/handle/123456789/986
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за техничку механику и теорију конструкција
Institution/Community
GraFar
TY  - JOUR
AU  - Jočković, Miloš
AU  - Radenković, Gligor
AU  - Nefovska-Danilović, Marija
AU  - Baitsch, M.
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/986
AB  - This paper deals with the linear free vibration analysis of Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. The geometry of the beam as well as the displacement field are defined using the NURBS basis functions which present the basic concept of the isogeometric analysis. A novel approach based on the fundamental relations of the differential geometry and Cauchy continuum beam model is presented and applied to derive the stiffness and consistent mass matrices of the corresponding spatial curved beam element. In the Bernoulli–Euler beam element only translational and torsional inertia are taken into account, while the Rayleigh beam element takes all inertial terms into consideration. Due to their formulation, isogeometric beam elements can be used for the dynamic analysis of spatial curved beams. Several illustrative examples have been chosen in order to check the convergence and accuracy of the proposed method. The results have been compared with the available data from the literature as well as with the finite element solutions.
PB  - Elsevier Inc.
T2  - Applied Mathematical Modelling
T1  - Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach
EP  - 172
SP  - 152
VL  - 71
DO  - 10.1016/j.apm.2019.02.002
ER  - 
@article{
author = "Jočković, Miloš and Radenković, Gligor and Nefovska-Danilović, Marija and Baitsch, M.",
year = "2019",
abstract = "This paper deals with the linear free vibration analysis of Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. The geometry of the beam as well as the displacement field are defined using the NURBS basis functions which present the basic concept of the isogeometric analysis. A novel approach based on the fundamental relations of the differential geometry and Cauchy continuum beam model is presented and applied to derive the stiffness and consistent mass matrices of the corresponding spatial curved beam element. In the Bernoulli–Euler beam element only translational and torsional inertia are taken into account, while the Rayleigh beam element takes all inertial terms into consideration. Due to their formulation, isogeometric beam elements can be used for the dynamic analysis of spatial curved beams. Several illustrative examples have been chosen in order to check the convergence and accuracy of the proposed method. The results have been compared with the available data from the literature as well as with the finite element solutions.",
publisher = "Elsevier Inc.",
journal = "Applied Mathematical Modelling",
title = "Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach",
pages = "172-152",
volume = "71",
doi = "10.1016/j.apm.2019.02.002"
}
Jočković, M., Radenković, G., Nefovska-Danilović, M.,& Baitsch, M.. (2019). Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. in Applied Mathematical Modelling
Elsevier Inc.., 71, 152-172.
https://doi.org/10.1016/j.apm.2019.02.002
Jočković M, Radenković G, Nefovska-Danilović M, Baitsch M. Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach. in Applied Mathematical Modelling. 2019;71:152-172.
doi:10.1016/j.apm.2019.02.002 .
Jočković, Miloš, Radenković, Gligor, Nefovska-Danilović, Marija, Baitsch, M., "Free vibration analysis of spatial Bernoulli–Euler and Rayleigh curved beams using isogeometric approach" in Applied Mathematical Modelling, 71 (2019):152-172,
https://doi.org/10.1016/j.apm.2019.02.002 . .

DSpace software copyright © 2002-2015  DuraSpace
About the GraFar Repository | Send Feedback

OpenAIRERCUB
 

 

All of DSpaceCommunitiesAuthorsTitlesSubjectsThis institutionAuthorsTitlesSubjects

Statistics

View Usage Statistics

DSpace software copyright © 2002-2015  DuraSpace
About the GraFar Repository | Send Feedback

OpenAIRERCUB